Re: eigen pair by power method

Mabe she means eigenvalue and the corresponding eigenvector? :

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: eigen pair by power method

Well, from the eigenvalue you can get the corresponding eigenvector...

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: eigen pair by power method

Re: eigen pair by power method

Where'd you get the term "eigen pair" from, then?

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: eigen pair by power method

Hi princess snowwhite;

I have some notes on computing an eigenpair. But do you understand the power method? Do you need to see that first.

Also when I was in the business of computing eigenvalues I did not bother with terminology or jargon as I call it. When I saw the word "eigenpair" I just scoffed and ignored it. It does seem that the power method gets both the dominant eigenvalue and the dominant eigenpair.

anonimnystefy wrote:

Mabe she means eigenvalue and the corresponding eigenvector?

It appears that Mr anonimnystefy is correct, every eigenvector is associated with an eigenvalue. These are called an eigenpair.

So now the question is what do you want. An example of the power method producing an eigenpair? Just the definition provided above?

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.